Hawking fragmentation and Hawking attenuation in Weyl semimetals

Abstract

We study black and white hole analogues in Weyl semimetals with inhomogenous nodal tilts. We study how the presence of a microscopic lattice, giving rise to low-energy fermion doubler states at large momenta that are not present for elementary particles, affects the analogy between Weyl Hamiltonians and general relativity. Using a microscopic tight-binding lattice model, we find the doubler states to give rise to Hawking fragmentation and Hawking attenuation of wavepackets by the analogue event horizon. These phenomena depend on an analogue Hawking temperature, and can be measured in metamaterials and solids, as we confirm by numerical simulations.

12 pages, 6 figures

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• Horizon physics of quasi-one-dimensional tilted Weyl cones on a lattice
• Black hole mirages: electron lensing and Berry curvature effects in inhomogeneously tilted Weyl semimetals
• Chiral Spin-Chain Interfaces Exhibiting Event-Horizon Physics
• Anisotropic optics and gravitational lensing of tilted Weyl fermions
• Analogue Hawking radiation as a tunneling in a two-level $\mathcal{P}\mathcal{T}$-symmetric system
• Anderson Localization and Swing Mobility Edge in Curved Spacetime
• Optimally scrambling chiral spin-chain with effective black hole geometry
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• Yukawa-Lorentz Symmetry of Tilted Non-Hermitian Dirac Semimetals at Quantum Criticality
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• Smart Holes: Analogue black holes with the right temperature and entropy
• Gauge fields induced by curved spacetime
• A weak pseudo-Hermitian two band model, artificial Hawking radiation and tunneling
• Quantum dynamics in 1D lattice models with synthetic horizons